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166613016240 = 243251144946853
BaseRepresentation
bin1001101100101011101…
…0001101111010110000
3120221001112210011212100
42123022322031322300
510212210413004430
6204312503100400
715015553161636
oct2331272157260
9527045704770
10166613016240
1164729782140
122835a441700
131293333a998
1480c7cd7356
154502314960
hex26cae8deb0

166613016240 has 240 divisors, whose sum is σ = 611782048800. Its totient is φ = 40300216320.

The previous prime is 166613016179. The next prime is 166613016257. The reversal of 166613016240 is 42610316661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166613016195 and 166613016204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532654 + ... + 3579506.

It is an arithmetic number, because the mean of its divisors is an integer number (2549091870).

Almost surely, 2166613016240 is an apocalyptic number.

166613016240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166613016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305891024400).

166613016240 is an abundant number, since it is smaller than the sum of its proper divisors (445169032560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166613016240 is a wasteful number, since it uses less digits than its factorization.

166613016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47332 (or 47323 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 166613016240 in words is "one hundred sixty-six billion, six hundred thirteen million, sixteen thousand, two hundred forty".